Answer: Um, your sum should be 4.
Step-by-step explanation: The sum of an infinite geometric series can be found using the formula
where a is the first term and r is the ratio between the successive terms.
For
, find the first term in the series by substituting in the lower bound and simplifying: a=1.
For r, find the ratio of successive terms by plugging into the formula
and simplifying:
.
For 1–r, substitute the values of the ratio and first term into the sum formula:
; ∴, your sum should be 4.